Question

show that,
if a_n is absolutely convergent then any rearrangement of a_n is also absolutely convergent

Answer 1

by rearrangement what does it mean?

Answer 2

if we rearrange the term of the series

Answer 3

hmm I dont know how to show that, it is clear that it is true but dont know how to prove it, sorry

Answer 4

please give me some idea

Answer 5

I guess it is because if we change finitely many terms that does not change the convergence. As there are infinitely many terms that tend to something.

Answer 6

can you tell me the name of book where i can understand it

Answer 7

well not really, search on the net